Least Common Multiple (LCM) of 94 and 135
The least common multiple (LCM) of 94 and 135 is 12690.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 94 and 135?
First, calculate the GCD of 94 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 135 = 0 remainder 94 |
| 2 | 135 ÷ 94 = 1 remainder 41 |
| 3 | 94 ÷ 41 = 2 remainder 12 |
| 4 | 41 ÷ 12 = 3 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 63 | 6489 |
| 13 and 132 | 1716 |
| 42 and 35 | 210 |
| 109 and 193 | 21037 |
| 39 and 198 | 2574 |